@article{oai:kanazawa-u.repo.nii.ac.jp:00010291, author = {Ejiri, Shinji and Fujimoto, Shouji and Kubo, Jisuke}, issue = {3}, journal = {Physical Review D}, month = {Aug}, note = {036002, Monte Carlo simulations are performed in a five-dimensional lattice SU(2) Yang-Mills theory with a compactified extra dimension, and scaling laws are studied. Our simulations indicate that, as the compactification radius R decreases, the confining phase spreads more and more to the weak coupling regime, and the effective dimension of the theory changes gradually from five to four. Our simulations also indicate that the limit a4→0 with R/a4 kept fixed exists in both the confining and deconfining phases if R/a4 is small enough, where a44 is the lattice spacing in the four-dimensional direction. We argue that there exists a maximal radius above which the color degrees of freedom are not confined. Comments on deconstructing extra dimensions are given. ©2002 The American Physical Society., 金沢大学大学院自然科学研究科物理学, 金沢大学理学部}, pages = {036002-1--036002-7}, title = {Scaling laws and effective dimension in lattice SU(2) Yang-Mills theory with a compactified extra dimension}, volume = {66}, year = {2002} }